Holographic technicolor models and their S-parameter

Oded Mintakevich, Jacob Sonnenschein

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We study the Peskin-Takeuchi S-parameter of holographic technicolor models. We present the recipe for computing the parameter in a generalized holographic setup. We then apply it to several holographic models that include: (a) the Sakai-Sugimoto model and (b) its non-compactified cousin, (c) a non-critical analog of (a) based on near extremal AdS 6 background, (d) the KMMW model which is similar to model (a) but with D6 and anti-D6 flavor branes replacing the D8 and anti-D8 branes, (e) a model based on D5 branes compactified on two S 1s with D7 and anti-D7 probe branes and (f) the conifold model with the same probe branes as in (e). The models are gravity duals of gauge theories with SU(N TC) gauge theory and with a breakdown of a flavor symmetry U(N TF) × U(N TF) U V(N TF). The models (a), (c),(d) and (e) are duals of a confining gauge theories whereas (b) and (f) associate with non confining models. The S-parameter was found to be S=sN TC where s is given by 0.017λ TC, 0.016λ TC, 0.095, 0.50 and 0.043 for the (a), (b), (c), (d), (f) models respectively and for model (e) s is divergent. These results are valid in the large N TC and large λ TC limit. We further derive the dependence of the S-parameter on the ''string endpoint" mass of the techniquarks for the various models. We compute the masses of the low lying vector technimesons.

Original languageEnglish
Article number032
JournalJournal of High Energy Physics
Issue number7
StatePublished - 2009


  • AdS-CFT Correspondence
  • Compactification and String Models
  • Gauge-gravity correspondence
  • Technicolor and Composite Models


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